A Thom Spectrum Model for $C_2$-Integral Brown--Gitler Spectra

Abstract

A Thom spectrum model for a $C_2$-equivariant analogue of integral Brown--Gitler spectra is established and shown to have a multiplicative property. The $C_2$-equivariant spectra constructed enjoy properties analogous to classical nonequivariant integral Brown--Gitler spectra and thus may prove useful for producing $C_2$-equivariant analogues of splittings of $BP⟨1⟩\wedge BP⟨1⟩$ and $bo\wedge bo.$

Changed subscript on Brown-Gitler spectra to agree with our subsequent paper, 15 pages, comments welcome

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